jee-main 2019 Q81

jee-main · India · session2_09apr_shift1 Tangents, normals and gradients Determine unknown parameters from tangent conditions

If the tangent to the curve, $y = x ^ { 3 } + a x - b$ at the point $( 1 , - 5 )$ is perpendicular to the line, $- x + y + 4 = 0$, then which one of the following points lies on the curve?
(1) $( 2 , - 2 )$
(2) $( 2 , - 1 )$
(3) $( - 2,1 )$
(4) $( - 2,2 )$

If the tangent to the curve, $y = x ^ { 3 } + a x - b$ at the point $( 1 , - 5 )$ is perpendicular to the line, $- x + y + 4 = 0$, then which one of the following points lies on the curve?\\
(1) $( 2 , - 2 )$\\
(2) $( 2 , - 1 )$\\
(3) $( - 2,1 )$\\
(4) $( - 2,2 )$

Paper Questions

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